Constructive Approximation, ISSN 0176-4276, 10/2019, Volume 50, Issue 2, pp. 271 - 291

For limiting noncompact Sobolev embeddings into continuous functions, we study the behavior of approximation, Gelfand, Kolmogorov, Bernstein and isomorphism...

Non-compactness | Secondary 47G10 | Numerical Analysis | Analysis | s -numbers | Mathematics | Sobolev embeddings | Primary 47B06 | s-numbers | MATHEMATICS | OPERATORS | CURVES | Statistics | Numerical analysis | Mathematics - Functional Analysis

Non-compactness | Secondary 47G10 | Numerical Analysis | Analysis | s -numbers | Mathematics | Sobolev embeddings | Primary 47B06 | s-numbers | MATHEMATICS | OPERATORS | CURVES | Statistics | Numerical analysis | Mathematics - Functional Analysis

Journal Article

The Michigan Mathematical Journal, ISSN 0026-2285, 04/2010, Volume 59, Issue 1, pp. 189 - 210

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 20

Let $$\Omega \subset \mathbb {R}^d$$ Ω⊂Rd be open. We investigate conditions under which an operator T on $$L_2(\Omega )$$ L2(Ω) has a continuous kernel $$K...

Intergral operator | Secondary 47B10 | Continuous kernel | Mercer’s theorem | Analysis | Mathematics | Primary 47G10

Intergral operator | Secondary 47B10 | Continuous kernel | Mercer’s theorem | Analysis | Mathematics | Primary 47G10

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 685 - 701

We determine exactly when two classes of integral operators are bounded on weighted $$L^p$$ L p spaces over the Siegel upper half-space.

Siegel upper half-space | Primary 32A35 | Operator Theory | Weighted $$L^p$$ L p spaces | 30E20 | 47G10 | Analysis | Bergman type operators | Boundedness | Secondary 32A26 | Mathematics, general | Mathematics | Weighted $$L^p$$Lpspaces | MATHEMATICS | Weighted L-p spaces | MATHEMATICS, APPLIED | Mathematics - Complex Variables

Siegel upper half-space | Primary 32A35 | Operator Theory | Weighted $$L^p$$ L p spaces | 30E20 | 47G10 | Analysis | Bergman type operators | Boundedness | Secondary 32A26 | Mathematics, general | Mathematics | Weighted $$L^p$$Lpspaces | MATHEMATICS | Weighted L-p spaces | MATHEMATICS, APPLIED | Mathematics - Complex Variables

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 10/2019, Volume 91, Issue 5, pp. 1 - 26

This paper discusses how much information on a Friedrichs model operator can be detected from ‘measurements on the boundary’. We use the framework of boundary...

Detectable subspace | Analysis | 34L05 | 47B35 | Mathematics | 47A10 | M -function | Friedrichs model | Primary 47G10 | Inverse problem | Secondary 30H10

Detectable subspace | Analysis | 34L05 | 47B35 | Mathematics | 47A10 | M -function | Friedrichs model | Primary 47G10 | Inverse problem | Secondary 30H10

Journal Article

Analysis Mathematica, ISSN 0133-3852, 12/2017, Volume 43, Issue 4, pp. 547 - 565

We obtain necessary and sufficient conditions on functions s 1(t),..., s m (t) and ψ(t) such that the weighted multilinear Hardy–Cesàro operator $$\left( {f_1...

42B35 | 47P05 | 47G10 | Analysis | Mathematics | Morrey–Herz space | Hardy–Cesàro operator

42B35 | 47P05 | 47G10 | Analysis | Mathematics | Morrey–Herz space | Hardy–Cesàro operator

Journal Article

7.
Full Text
Sharp $$L^{p}$$ L p -boundedness of oscillatory integral operators with polynomial phases

Mathematische Zeitschrift, ISSN 0025-5874, 8/2017, Volume 286, Issue 3, pp. 1277 - 1302

In this paper, we shall prove the $$L^{p}$$ L p endpoint decay estimates of oscillatory integral operators with homogeneous polynomial phases S in $$\mathbb...

Polynomial phases | 44A05 | Sharp $$L^p$$ L p boundedness | 47G10 | Mathematics, general | Oscillatory integral operators | Mathematics | Endpoint decay estimates

Polynomial phases | 44A05 | Sharp $$L^p$$ L p boundedness | 47G10 | Mathematics, general | Oscillatory integral operators | Mathematics | Endpoint decay estimates

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 02/2018, Volume 146, Issue 2, pp. 723 - 731

For Volterra operator V\colon L^1(0,1)\to C[0,1] and summation operator \sigma \colon \ell ^1\to c, we obtain exact values of Approximation, Gelfand,...

Integral operator | Summation operator | S-numbers | MATHEMATICS | MATHEMATICS, APPLIED | s-numbers | SPACES | WIDTHS | summation operator | HARDY-TYPE OPERATORS

Integral operator | Summation operator | S-numbers | MATHEMATICS | MATHEMATICS, APPLIED | s-numbers | SPACES | WIDTHS | summation operator | HARDY-TYPE OPERATORS

Journal Article

Journal of Elasticity, ISSN 0374-3535, 6/2014, Volume 116, Issue 1, pp. 27 - 51

In this paper, we carry out further mathematical studies of nonlocal constrained value problems for a peridynamic Navier equation derived from linear...

Local limit | Nonlocal diffusion | Physics | 45A05 | Nonlocal operator | 74H25 | Navier equation | 47G10 | 74G65 | 74H20 | Mechanics | Automotive Engineering | Nonlocal Poincare inequality | 45K05 | Nonlocal elasticity | Peridynamic model | Well-posedness | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONVERGENCE | Kernels | Constraints | Mathematical analysis | Fluid flow | Elasticity | Mathematical models | Poissons ratio | Convergence

Local limit | Nonlocal diffusion | Physics | 45A05 | Nonlocal operator | 74H25 | Navier equation | 47G10 | 74G65 | 74H20 | Mechanics | Automotive Engineering | Nonlocal Poincare inequality | 45K05 | Nonlocal elasticity | Peridynamic model | Well-posedness | MATERIALS SCIENCE, MULTIDISCIPLINARY | MODEL | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONVERGENCE | Kernels | Constraints | Mathematical analysis | Fluid flow | Elasticity | Mathematical models | Poissons ratio | Convergence

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 01/2019, Volume 67, Issue 1, pp. 186 - 195

We consider the algebra of mixed multidimensional integral operators. In particular, Fredholm integral operators belong to this algebra. For the piecewise...

Operator algebras | traces and determinants | representation of integral operators | piecewise constant kernel functions | 16G99 | 45P05 | 47G10 | 58C40 | 74J05 | MATHEMATICS | PERIODIC OPERATORS | ALGEBRA | Kernels | Operators (mathematics) | Algebra | Representations | Integrals

Operator algebras | traces and determinants | representation of integral operators | piecewise constant kernel functions | 16G99 | 45P05 | 47G10 | 58C40 | 74J05 | MATHEMATICS | PERIODIC OPERATORS | ALGEBRA | Kernels | Operators (mathematics) | Algebra | Representations | Integrals

Journal Article

Journal of Functional Analysis, ISSN 0022-1236, 01/2018, Volume 274, Issue 2, pp. 573 - 604

In this paper we study a key example of a Hermitian symmetric space and a natural associated double flag variety, namely for the real symplectic group G and...

Double flag variety | Hermitian symmetric space | Prehomogeneous vector space | Degenerate principal series representation | MATHEMATICS | Degenerate principal series | TRIPLES | PRINCIPAL SERIES REPRESENTATIONS | ORBITS | representation

Double flag variety | Hermitian symmetric space | Prehomogeneous vector space | Degenerate principal series representation | MATHEMATICS | Degenerate principal series | TRIPLES | PRINCIPAL SERIES REPRESENTATIONS | ORBITS | representation

Journal Article

Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 21

Let T∗ $T^{*}$ be a multilinear Calderón–Zygmund maximal operator. In this paper, we study iterated commutators of T∗ $T^{*}$ and pointwise multiplication with...

Maximal multilinear operators | 42B25 | 47G10 | Analysis | Calderón–Zygmund operator | Mathematics, general | Mathematics | Applications of Mathematics | Commutators | MATHEMATICS | MATHEMATICS, APPLIED | Calderon-Zygmund operator | WEIGHTED NORM INEQUALITIES | SINGULAR-INTEGRALS | KERNELS | Operators (mathematics) | Multiplication | Function space

Maximal multilinear operators | 42B25 | 47G10 | Analysis | Calderón–Zygmund operator | Mathematics, general | Mathematics | Applications of Mathematics | Commutators | MATHEMATICS | MATHEMATICS, APPLIED | Calderon-Zygmund operator | WEIGHTED NORM INEQUALITIES | SINGULAR-INTEGRALS | KERNELS | Operators (mathematics) | Multiplication | Function space

Journal Article

Banach Journal of Mathematical Analysis, ISSN 1735-8787, 2015, Volume 9, Issue 3, pp. 24 - 42

Let a and beta be orientation-preserving diffeomorphisms (shifts) of R+ = (0, infinity) onto itself with the only fixed points 0 and infinity, where the...

Index | Mellin pseudodifferential operator | Weighted singular integral operator | Fredholmness | Slowly oscillating shift | MATHEMATICS | MATHEMATICS, APPLIED | TOEPLITZ-OPERATORS | slowly oscillating shift | CONVOLUTIONS | index | weighted singular integral operator

Index | Mellin pseudodifferential operator | Weighted singular integral operator | Fredholmness | Slowly oscillating shift | MATHEMATICS | MATHEMATICS, APPLIED | TOEPLITZ-OPERATORS | slowly oscillating shift | CONVOLUTIONS | index | weighted singular integral operator

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 3/2014, Volume 102, Issue 3, pp. 245 - 255

We prove that a weakly ergodic, eventually strong Feller semigroup on the space of measures on a Polish space converges strongly to a projection onto its fixed...

Tauberian theorem | Strong Feller | Kernel operator | Primary 40E05 | 47G10 | Mathematics, general | Markovian semigroup | Mean ergodic | Mathematics | Secondary 47D07 | MATHEMATICS | BEHAVIOR

Tauberian theorem | Strong Feller | Kernel operator | Primary 40E05 | 47G10 | Mathematics, general | Markovian semigroup | Mean ergodic | Mathematics | Secondary 47D07 | MATHEMATICS | BEHAVIOR

Journal Article

Analysis Mathematica, ISSN 0133-3852, 9/2019, Volume 45, Issue 3, pp. 535 - 568

For any dimension n ≥ 2, we consider the maximal directional Hilbert transform $$\mathscr{H}_U$$ H U on ℝ n associated with a direction set...

Hilbert transform | 42B25 | maximal directional Hilbert transform | 47G10 | Analysis | 42B20 | Mathematics | 42B15 | 42B05 | tree system | MATHEMATICS | KAKEYA SETS | ARBITRARY SETS | DIFFERENTIATION | OPERATORS | SINGULAR-INTEGRALS

Hilbert transform | 42B25 | maximal directional Hilbert transform | 47G10 | Analysis | 42B20 | Mathematics | 42B15 | 42B05 | tree system | MATHEMATICS | KAKEYA SETS | ARBITRARY SETS | DIFFERENTIATION | OPERATORS | SINGULAR-INTEGRALS

Journal Article

Complex Analysis and Operator Theory, ISSN 1661-8254, 7/2019, Volume 13, Issue 5, pp. 2269 - 2276

In this paper, we obtain the exact norm of the following integral operator $$P^{\alpha }_{t}$$ P t α $$\begin{aligned} P^{\alpha }_{t}f(z)=\int _{\mathbb...

Integral operator | Operator Theory | 47G10 | Analysis | Mathematics, general | Norm | Bloch-type projection | Mathematics | 30H30 | Bloch-type space | MATHEMATICS | MATHEMATICS, APPLIED | Business schools

Integral operator | Operator Theory | 47G10 | Analysis | Mathematics, general | Norm | Bloch-type projection | Mathematics | 30H30 | Bloch-type space | MATHEMATICS | MATHEMATICS, APPLIED | Business schools

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 7/2016, Volume 85, Issue 3, pp. 303 - 306

We pose the problem of determining the exact value of the operator norm of the Cauchy transform. A lower bound of the norm is presented.

Cauchy transform | Primary 32A35 | 30E20 | 47G10 | Analysis | Secondary 32A26 | Mathematics | Bergman projection | norm estimates | Hardy space | MATHEMATICS | PROJECTION

Cauchy transform | Primary 32A35 | 30E20 | 47G10 | Analysis | Secondary 32A26 | Mathematics | Bergman projection | norm estimates | Hardy space | MATHEMATICS | PROJECTION

Journal Article

Integral Equations and Operator Theory, ISSN 0378-620X, 4/2019, Volume 91, Issue 2, pp. 1 - 20

When the weight $$\mu $$ μ is more general than normal, the complete characterizations in terms of the symbol g and weights for the conditions of the...

Volterra type operator | Secondary 30H05 | Analysis | Compactness | Bloch type space | Boundedness | Mathematics | Primary 47G10 | Weighted Banach space | MATHEMATICS | INTEGRATION OPERATORS | GROWTH | MULTIPLIERS

Volterra type operator | Secondary 30H05 | Analysis | Compactness | Bloch type space | Boundedness | Mathematics | Primary 47G10 | Weighted Banach space | MATHEMATICS | INTEGRATION OPERATORS | GROWTH | MULTIPLIERS

Journal Article

Acta Mathematica Sinica, English Series, ISSN 1439-8516, 1/2018, Volume 34, Issue 1, pp. 29 - 41

We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we...

42B99 | paraproduct | 47G10 | Mathematics, general | Bilinear Hilbert transform | Mathematics | 42A50 | tri-linear operators | MATHEMATICS | UNIFORM BOUNDS | MATHEMATICS, APPLIED | Mathematical analysis | Hilbert transformation | Linear operators

42B99 | paraproduct | 47G10 | Mathematics, general | Bilinear Hilbert transform | Mathematics | 42A50 | tri-linear operators | MATHEMATICS | UNIFORM BOUNDS | MATHEMATICS, APPLIED | Mathematical analysis | Hilbert transformation | Linear operators

Journal Article

Constructive Approximation, ISSN 0176-4276, 12/2018, Volume 48, Issue 3, pp. 385 - 413

We obtain several estimates for the $$L^p$$ Lp operator norms of the Bergman and Cauchy–Szegö projections over the the Siegel upper half-space. As a...

32A26 | Siegel upper half-space | 32A35 | 30E20 | 47G10 | Numerical Analysis | Analysis | Norm estimates | Cauchy–Szegö projection | Mathematics | Bergman projection | MATHEMATICS | BLOCH SPACE | PLANES | CONSTANT | Cauchy-Szego projection | L-P SPACES

32A26 | Siegel upper half-space | 32A35 | 30E20 | 47G10 | Numerical Analysis | Analysis | Norm estimates | Cauchy–Szegö projection | Mathematics | Bergman projection | MATHEMATICS | BLOCH SPACE | PLANES | CONSTANT | Cauchy-Szego projection | L-P SPACES

Journal Article

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